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Finding the Fourth Proportional to 6,366.25, 9,551.81 and 2,470.96

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Solution

The fourth proportional to 6,366.25, 9,551.81 and 2,470.96 is: 3,707.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,366.25 : 9,551.81 = 2,470.96 : x
  2. Step 2: Convert to fraction form
    6,366.25/9,551.81 = 2,470.96/x
  3. Step 3: Cross multiply
    6,366.25x = 9,551.81 × 2,470.96
  4. Step 4: Simplify right side
    6,366.25x = 23,602,140.44
  5. Step 5: Solve for x
    x = 23,602,140.44/6,366.25
  6. Step 6: Final answer
    x = 3,707.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.